Effective Field Theories and Cosmological Scattering Equations
arXiv:2204.08931 · doi:10.1007/JHEP08(2022)054
Abstract
We propose worldsheet formulae for wavefunction coefficients of the massive non-linear sigma model (NLSM), scalar Dirac-Born-Infeld (DBI), and special Galileon (sGal) theories in de Sitter momentum space in terms of the recently proposed cosmological scattering equations constructed from conformal generators in the future boundary. The four-point integrands are assembled from simple building blocks and we identify a double copy prescription mapping the NLSM wavefunction coefficient to the DBI and sGal wavefunction coefficients, including mass deformations and curvature corrections. Finally, we compute the soft limits of these wavefunction coefficients and find that they can be written in terms of boundary conformal generators acting on contact diagrams.
arXiv commentv2. minor changes, published in JHEP
References in corpus (70)
- Non-Gaussian features of primordial fluctuations in single field inflationary models
- New Relations for Gauge-Theory Amplitudes
- The Effective Field Theory of Inflation
- Perturbative Quantum Gravity as a Double Copy of Gauge Theory
- Quantum Contributions to Cosmological Correlations
- Holography from Conformal Field Theory
- Scattering of Massless Particles in Arbitrary Dimension
- Scattering of Massless Particles: Scalars, Gluons and Gravitons
- On graviton non-Gaussianities during inflation
- Scattering Equations and Matrices: From Einstein To Yang-Mills, DBI and NLSM
- Ambitwistor strings and the scattering equations
- On Soft Limits of Inflationary Correlation Functions
- Inflation and the dS/CFT Correspondence
- On non-gaussianities in single-field inflation
- Effective Field Theories from Soft Limits
- Holography for Cosmology
- Conformal consistency relations for single-field inflation
- Bootstrapping Inflationary Correlators in Mellin Space
- The Cosmological Bootstrap: Weight-Shifting Operators and Scalar Seeds
- Gravitational S-matrix from CFT dispersion relations
- An Infinite Set of Ward Identities for Adiabatic Modes in Cosmology
- The Cosmological Optical Theorem
- Scalar 3-point functions in CFT: renormalisation, beta functions and anomalies
- Cosmological Cutting Rules
- Unifying Relations for Scattering Amplitudes
- From dS to AdS and back
- Conformal Invariance and the Four Point Scalar Correlator in Slow-Roll Inflation
- Building a Boostless Bootstrap for the Bispectrum
- Linking the Singularities of Cosmological Correlators
- Cutting Cosmological Correlators
- Proof of the Formula of Cachazo, He and Yuan for Yang-Mills Tree Amplitudes in Arbitrary Dimension
- From Locality and Unitarity to Cosmological Correlators
- A Hidden Symmetry of the Galileon
- Double copy structure of CFT correlators
- Constraints from Conformal Symmetry on the Three Point Scalar Correlator in Inflation
- Ward Identities for Scale and Special Conformal Transformations in Inflation
- Renormalised 3-point functions of stress tensors and conserved currents in CFT
- Tree-level Amplitudes in the Nonlinear Sigma Model
- Gluon Scattering in AdS from CFT
- The Inflationary Wavefunction from Analyticity and Factorization
- On duality of color and kinematics in (A)dS momentum space
- Renormalised CFT 3-point functions of scalars, currents and stress tensors
- Recursion Relations for AdS/CFT Correlators
- Color/Kinematics Duality in AdS
- Cosmological Polytopes and the Wavefunction of the Universe
- Holographic Non-Gaussianity
- Expansion of Einstein-Yang-Mills Amplitude
- Manifesting Color-Kinematics Duality in the Scattering Equation Formalism
- CFT Unitarity and the AdS Cutkosky Rules
- Double copy structure and the flat space limit of conformal correlators in even dimensions
- Double Copy Relation for AdS
- Conformal correlators as simplex integrals in momentum space
- Cosmological Scattering Equations
- Adler's Zero and Effective Lagrangians for Nonlinearly Realized Symmetry
- On the Symmetries of Cosmological Perturbations
- On the Differential Representation and Color-Kinematics Duality of AdS Boundary Correlators
- Double copy structure of parity-violating CFT correlators
- Scattering Equations in AdS: Scalar Correlators in Arbitrary Dimensions
- Symmetry Constraints in Inflation, -vacua, and the Three Point Function
- A Differential Representation of Cosmological Wavefunctions
- Efficient Calculation of Crossing Symmetric BCJ Tree Numerators
- Cosmological Scattering Equations at Tree-level and One-loop
- Probing Scalar Effective Field Theories with the Soft Limits of Scattering Amplitudes
- Analytical evaluation of cosmological correlation functions
- Towards Color-Kinematics Duality in Generic Spacetimes
- A handbook of holographic 4-point functions
- Double Copy in Higher Derivative Operators of Nambu-Goldstone Bosons
- Exceptional scalar theories in de Sitter space
- Scattering of Gravitons and Spinning Massive States from Compact Numerators
- BCJ Amplitude Relations for Anti-de Sitter Boundary Correlators in Embedding Space
Cited by in corpus (11)
- Cosmological Bootstrap in Slow Motion
- The graviton four-point function in de Sitter space
- Cosmological Correlators Through the Looking Glass: Reality, Parity, and Factorisation
- New recursions for tree-level correlators in (Anti) de Sitter space
- On Graviton non-Gaussianities in the Effective Field Theory of Inflation
- Enhanced Soft Limits in de Sitter Space
- Flat-space structure of gluon and graviton in AdS
- Bootstrapping Witten diagrams via differential representation in Mellin space
- Flavour-kinematics duality for Goldstone modes
- Soft Limits of Gluon and Graviton Correlators in Anti-de Sitter Space
- A Novel On-Shell Recursive Relation